← Evolutionary Mathematics

Population genetics

Population genetics studies how allele and genotype frequencies change through selection, mutation, migration, recombination and random genetic drift.

Allele frequency

For a diploid population with genotype frequencies \(f_{AA},f_{Aa},f_{aa}\), the frequency of allele \(A\) is

\[p=f_{AA}+\frac12f_{Aa},\]

and the frequency of allele \(a\) is \(q=1-p\).

Deterministic and stochastic models

Large-population approximations often use deterministic recursions or differential equations. Finite populations require stochastic models when random sampling between generations is important.

Key idea. Population genetics tracks frequencies rather than only population size, and asks which evolutionary mechanisms cause those frequencies to change.